46 citations · 131 across the 20 of their papers we have counts for
4 papers · 1 filter
Global Existence of Geometric Rough Flows
Bruce K. Driver
In this paper we consider rough differential equations on a smooth manifold The main result of this paper gives sufficient conditions on the driving vector-fiel…
On truncated logarithms of flows on a Riemannian manifold
Bruce K. Driver
This paper gives quantitative global estimates between a time dependent flow on a Riemannian manifold and the flow of a vector field constructed by truncating th…
Integrated Harnack inequalities on Lie groups
Bruce K. Driver, Maria Gordina
We show that the logarithmic derivatives of the convolution heat kernels on a uni-modular Lie group are exponentially integrable. This result is then used to prove an "integrated"…
Finite dimensional approximations to Wiener measure and path integral formulas on manifolds
Lars Andersson, Bruce K. Driver
Certain natural geometric approximation schemes are developed for Wiener measure on a compact Riemannian manifold. These approximations closely mimic the informal path integral for…